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Answer:
Well, your set of quantum numbers is not "allowed" for a particular electron because of the value you have for l , the angular momentum quantum number.
The values the angular momentum quantum number is allowed to take go from zero to
n-1 , n
being the principal quantum number.
So, in your case, if
n is equal to 3, the values l must take are 0, 1, and 2. Since l is listed as having the value 3, this puts it outside the allowed range.
The value for m l can exist, since m l , the **magnetic quantum number, ranges from − l , to +l .
Likewise,
m s , the spin quantum number, has an acceptable value, since it can only be − 1/2 or + 1/2 .Therefore, the only value in your set that is not allowed for a quantum number is l = 3 .